Three masses, weighing \(225 \mathrm{~g}, 320 \mathrm{~g}\), and \(550 \mathrm{~g}\), are attached around the rim, of diameter \(750 \mathrm{~mm}\), of a flywheel at the angular locations \(\theta=10^{\circ}, 100^{\circ}\), and \(190^{\circ}\), respectively. Find the weight and the angular location of the fourth mass to be attached on the rim that leads to the dynamic balance of the flywheel.